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Finding the Fourth Proportional to 13,633.84, 20,452.38 and 4,869.64

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Solution

The fourth proportional to 13,633.84, 20,452.38 and 4,869.64 is: 7,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.84 : 20,452.38 = 4,869.64 : x
  2. Step 2: Convert to fraction form
    13,633.84/20,452.38 = 4,869.64/x
  3. Step 3: Cross multiply
    13,633.84x = 20,452.38 × 4,869.64
  4. Step 4: Simplify right side
    13,633.84x = 99,595,727.74
  5. Step 5: Solve for x
    x = 99,595,727.74/13,633.84
  6. Step 6: Final answer
    x = 7,305.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.